The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Answers

Answer 1

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51


Related Questions

Of the houses in Kimberly's neighborhood, 5/12 are pink and another 1/3 are red. What fraction of the houses are either pink or red?

Answers

Answer:9/12

Step-by-step explanation:

You need to make the denominators the same. Multiply the 1/3 by 4 and now you are ready. You add 4/12 and 5/12 together. 9/12 houses on her block are pink/red. You can also simply it down to 3/4.

pls, help! (NO LINKS!)
Thank you!

Answers

Answer:

18÷25 =0.72 convert proper fraction to decimal ,divide the numerator by the denominator.

3-0.72=3.72. add this decimal number to the whole number .final answer is 3.72

how do you draw the graph?

Answers

Answer:

right

Step-by-step explanation:

draw a line and right a number from 1 to 10

At 6 a.m. the temperature was -9oF. By 11 a.m., the temperature had increased 34oF. What was the temperature at 11 a.m.?

Answers

The resulting temperature was 25oF.

The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?

Answers

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.

Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73

Answers

Answer:

73

7.32

7.23

7.3

hope this helps☆☆

What is the slope of this graph? m=[slope)
100
80
60
Number of cups
40
20
16
20
8 12
Sugar (pounds)

Answers

Answer:

Step-by-step explanation:

If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps

7. Two numbers are at a ratio of 5: 9. Find the larger number if the smaller number is 35.

Answers

Answer:

63

Step-by-step explanation:

PLS HURRY ONLY CORRECT ANSWERS 50 POINTS NEED THIS IN ONE HOUR
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Part A:   70x+50=$250

Part B:   75x-5x+$35=$250

They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.

not 100% sure on Part B

HELP! SOMEONE!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

THANK YOU!

Answers

Answers:

DE = 24 inchesm∠E = 22°

=================================================

Explanation:

The diagram is below.

Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.

The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.

This means we have this pairing:

A pairs with DB pairs with EC pairs with F

Because the triangles are congruent, we know that:

angle A = angle Dangle B = angle Eangle C = angle F

So if we could find out angle B, then we automatically will find out angle E as well.

Use the idea that for any triangle, the angles always add to 180

A+B+C = 180

34+B+124 = 180

B+158 = 180

B = 180-158

B = 22

Angle B is 22 degrees, and so is angle E.

----------------------

Everything in the previous section handled how to find angle E.

In this section, we'll find how long side DE is.

Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs

side AB pairs with side DEside BC pairs with side EFside AC pairs with side DF

The pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.

Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.

2) Given the sequence 5, -2, -9, ...

Find the first term:

Is the sequence arithmetic?

Find the common difference d:

Find the general term an:

Find the 20th term:

Find the sum of the first 50 terms:

Answers

The first term is 5

Yes this a arithmetic sequence

The common difference is 7

Answer:

Find the first term:  

The first term is 5

Is the sequence arithmetic?

Yes because (5 -7 = -2) (-2 - 7 = -9)  

Find the common difference d:

The common difference is -7

Find the general term an:

[tex]a_{n}[/tex] = (first term) + ((nth term) -1) · (common difference)

[tex]a_{n}[/tex] = 5 + (n - 1) · (-7)

Find the 20th term:

[tex]a_{20}[/tex] = 5 + (20 - 1) · (-7)

= -128

Find the sum of the first 50 terms:

[tex]a_{50}[/tex] = 5 + (50 - 1) · (-7)

= -338

Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?
A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.
C. Sun'N'Fun is never cheaper than Wavy Dave's.
D. Sun'N'Fun is always cheaper than Wavy Dave's.

Answers

Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

Let y represent the total renting fee for x hours.

Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:

y = 17.5x + 20

Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:

y = 15x + 30

For Sun'N'Fun to be cheaper than Wavy Dave's:

15x + 30 < 17.5x + 20

10 < 2.5x

4 < x

x > 4

Hence,  Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

Find out more at: https://brainly.com/question/13911928

4. FGH - MNP. Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values

[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

group of 3 people is going on a boat tour. If each boat holds 3 people, how many will boats will the group need?

Answers

Answer:

1

Step-by-step explanation:

there are 3 people and 1 boat holds three people

What is the slope of a line that passes through the points (8, 3) and (−3, 3)?
A. -8
B. 0
C. 1
D. undefined
Pasagot nga po, need ko na po kasi now

Answers

Answer:

0

Step-by-step explanation:

m = 3-3/8-(-3)

m = 0/11 = 0

The answer is B and it is 0

10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.

Answers

Answer:

the height of nick is 1.46

Step-by-step explanation:

because to change cm into m we need to divide it by 100so 18/100is 0.18

and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height

Answer:

1.46

Step-by-step explanation:

1.64 to cm is 164

164-18 = 146

146 to meters is 1.46

The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls

Answers

ANSWER:

There are 600 boys and 800 girls.

SOLUTION:

We are given the following facts:

The total number of students is 1,400.The ratio of boys to girls is 3:4.

We express this as a partitive proportion.

» Solve for x.

[tex] \sf 3x + 4x = 1400 [/tex][tex] \sf 7x = 1400 [/tex][tex] \sf x = \frac{1400}{7} [/tex][tex] \sf x = 200 [/tex]

Now we to solve for the number of boys and the number of girls.

» Number of boys:

= [tex] \sf 3x [/tex] = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]

» Number of girls:

= [tex] \sf 4x [/tex] = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]

Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.

HOPE IT HELPS!

how to work out 85% of a number

Answers

Answer:

you change the percent into a decimal and multiply because of means multiply

Step-by-step explanation:

lets say you finding 85% of 4

.85 x 4

Evaluate the following expression
a+b divide c
when:
a = 2
b= -3
C= -1
d=5
Show your work by substituting and solving.

Answers

Answer:

1

Step-by-step explanation:

a+b divide c -> [tex]\frac{a+b}{c}[/tex]

Plugging in - > [tex]\frac{2+-3}{-1}[/tex]

Simplifying: [tex]\frac{2-3}{-1}[/tex]

Subtracting: [tex]\frac{-1}{-1}[/tex]

Simplifying: 1

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If -2 - 4x = -8x + 3x,
then what is X-2?

Answers

Answer:

-0.8

Step-by-step explanation:

-2 -4 = -8x + 3x

-6 =-5x

x = 1.2

so x-2 =

1.2 -2 = -0.8

The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.

Answers

I know u felt offend and I love you so much so much love and hope that not everyone else is going to accept that as a result I am now in a person

Answer:

9.3+ b= 14.5

Step-by-step explanation:

plzz helpp what's (12+9⁷)+1284​

Answers

Answer:

4784265

Step-by-step explanation:

(12+9⁷)+1284​

12 + 4782969 + 1284

4784265

Solving:

To resolve this issue first we have to remember the rules to resolve a numeric expression, see:

Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.

[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]

Okay?!

What is the value of x?
(picture attached)

Answers

x= 48

P/s: sorry. I cant explain  

ok done.thank to me :>

Filled up gas tank with 24 gallons. He used .06 gal every mile.

Answers

Answer:

are you asking how many miles he can go bc it would be .6 * 24 = 14.4 miles before he runs out

List three negative numbers that are greater than -9

Answers

Answer:

use these and choose 3 your welcome

simpifly (4^7/5^2)^3

Answers

The answer is C, I just had that exact question. Hope this helps!

What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!

Answers

the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. The reason is the tilt of Earth's axis of rotation with respect to the orbital plane.. l hope it helped :)

Answer:

At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.

Step-by-step explanation:

fill in the blank to make the fractions equivalent.
4/5 ?/15​

Answers

Answer:

12/15

Step-by-step explanation:

times 4 by 3 because 5 is timesed by 3

Can someone plz help

Answers

Answer:

y=mx+b

Step-by-step explanation:

point slope form

No Links
12. An electrician charges a 45.00 dollars travel fee plus 30.00 dollars per hour of labor. Let y be the cost in dollars for x hours of work. Write the slope-intercept form of the equation.

y = 45+30x

13. Using the equation from number 12, if the electrician works 3 hours on a job, how much will the bill be?

14. Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.

Answers

Answer:

12. y=30x+45

13. 135 dollars

    y=45+30(3)

    y=45+90

    y=135 dollars

14. 8 full hours

    300=45+30x

    255=30x

    x = 8.5 or 8 full hours

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